Boundary value problems of multi-term fractional differential equations with impulse effects

被引：0
|
作者：
Liu, Yuji [1 ]
机构：
[1] Guangdong Univ Finance & Econ, Dept Math, Guangzhou 510320, Guangdong, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 18期
关键词：
impulsive multi-term fractional differential equation; boundary value problem; Schauder's fixed point theorem;
D O I：
10.1002/mma.3928
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We point out some mistakes in a known paper. Some existence results for solutions of two classes of boundary value problems for nonlinear impulsive fractional differential equations are established. Our analysis relies on the well-known Schauder fixed point theorem. Examples are given to illustrate the main results. Copyright (c) 2016 John Wiley & Sons, Ltd.
引用
收藏
页码：5436 / 5451
页数：16
相关论文
共 50 条
  • [31] BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
    Agarwal, Ravi P.
    Benchohra, Mouffak
    Hamani, Samira
    GEORGIAN MATHEMATICAL JOURNAL, 2009, 16 (03) : 401 - 411
  • [32] Boundary value problems for fractional differential equations
    Hu, Zhigang
    Liu, Wenbin
    Liu, Jiaying
    BOUNDARY VALUE PROBLEMS, 2014, : 1 - 11
  • [33] NEW UNIQUENESS CRITERION FOR CAUCHY PROBLEMS OF CAPUTO FRACTIONAL MULTI-TERM DIFFERENTIAL EQUATIONS
    Gholami, Yousef
    Ghanbari, Kazem
    Akbari, Sima
    Gholami, Robabeh
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2024, 16 (02): : 97 - 112
  • [34] Multi-term fractional oscillation integro-differential equations
    Phung, Tran Dinh
    Duc, Dinh Thanh
    Tuan, Vu Kim
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2022, 25 (04) : 1713 - 1733
  • [35] Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
    Li, Zhiyuan
    Liu, Yikan
    Yamamoto, Masahiro
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 : 381 - 397
  • [36] Existence and uniqueness for a class of multi-term fractional differential equations
    Li, Qiuping
    Hou, Chuanxia
    Sun, Liying
    Han, Zhenlai
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 53 (1-2) : 383 - 395
  • [37] MULTI-TERM FRACTIONAL-ORDER BOUNDARY-VALUE PROBLEMS WITH NONLOCAL INTEGRAL BOUNDARY CONDITIONS
    Alsaedi, Ahmed
    Alghamdi, Najla
    Agarwal, Ravi P.
    Ntouyas, Sotiris K.
    Ahmad, Bashir
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
  • [38] Multi-term fractional differential equations in a nonreflexive Banach space
    Ravi P Agarwal
    Vasile Lupulescu
    Donal O’Regan
    Ghaus ur Rahman
    Advances in Difference Equations, 2013
  • [39] Existence and uniqueness for a class of multi-term fractional differential equations
    Qiuping Li
    Chuanxia Hou
    Liying Sun
    Zhenlai Han
    Journal of Applied Mathematics and Computing, 2017, 53 : 383 - 395
  • [40] Stability Properties of Multi-Term Fractional-Differential Equations
    Brandibur, Oana
    Kaslik, Eva
    FRACTAL AND FRACTIONAL, 2023, 7 (02)
12345